Function- Operation & Composition
Operations With functions
Let 'f' and 'g' be two functions with intersecting domains. Then for all x-values in the intersection, the sum, product, difference, and quotient of 'f' and 'g' are new functions defined as follows.
Sum~ (f+g)(x)=f(x)+g(x)
Difference~ (f-g)(x)=f(x)-g(x)
Product~ (f*g)(x)=f(x) * g(x)
Quotient~ (f/g)(x)=f(x)/g(x) * g(x) =\0
Composition of Functions
[fog](x)=f[g(x)]
Let 'f' and 'g' be two functions with intersecting domains. Then for all x-values in the intersection, the sum, product, difference, and quotient of 'f' and 'g' are new functions defined as follows.
Sum~ (f+g)(x)=f(x)+g(x)
Difference~ (f-g)(x)=f(x)-g(x)
Product~ (f*g)(x)=f(x) * g(x)
Quotient~ (f/g)(x)=f(x)/g(x) * g(x) =\0
Composition of Functions
[fog](x)=f[g(x)]